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465608364 = 2231361113433
BaseRepresentation
bin11011110000001…
…001111010101100
31012110010100121020
4123300021322230
51423143431424
6114111334140
714352414534
oct3360117254
91173110536
10465608364
11219907501
1210bb21350
1375603210
1445ba24c4
152ad23079
hex1bc09eac

465608364 has 96 divisors (see below), whose sum is σ = 1202464704. Its totient is φ = 139345920.

The previous prime is 465608347. The next prime is 465608387. The reversal of 465608364 is 463806564.

It is a super-2 number, since 2×4656083642 = 433582297253512992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1075092 + ... + 1075524.

It is an arithmetic number, because the mean of its divisors is an integer number (12525674).

Almost surely, 2465608364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465608364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601232352).

465608364 is an abundant number, since it is smaller than the sum of its proper divisors (736856340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

465608364 is a wasteful number, since it uses less digits than its factorization.

465608364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 465608364 is about 21577.9601445549. The cubic root of 465608364 is about 775.0688049908.

The spelling of 465608364 in words is "four hundred sixty-five million, six hundred eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 113 122 156 183 226 244 339 366 433 452 678 732 793 866 1299 1356 1469 1586 1732 2379 2598 2938 3172 4407 4758 5196 5629 5876 6893 8814 9516 11258 13786 16887 17628 20679 22516 26413 27572 33774 41358 48929 52826 67548 79239 82716 89609 97858 105652 146787 158478 179218 195716 268827 293574 316956 343369 358436 537654 587148 636077 686738 1030107 1075308 1272154 1373476 1908231 2060214 2544308 2984669 3816462 4120428 5969338 7632924 8954007 11938676 17908014 35816028 38800697 77601394 116402091 155202788 232804182 465608364